A random sample of Ersatz University students revealed that 16 females had a mean of $22.30 in their wallets with a standard deviation of $3.20, while 6 males had a mean of $17.30 with a standard deviation of $9.60. At α = .10, to test for equal variances in a two-tailed test, the critical values are:
A)0.441 and 3.24
B)0.556 and 2.27
C)0.345 and 4.62
D)0.387 and 2.90

Question

Quizplus · Accepted Answer

To test for equal variances in a two-tailed test at α = .10 with the given sample sizes and degrees of freedom (df1 = 6 - 1 = 5, df2 = 16 - 1 = 15), we can use the F-distribution. Looking up the critical values in an F-table or using a calculator, we get the critical values of 0.345 and 4.62. Therefore, the best choice is C.

A Random Sample of Ersatz University Students Revealed That 16